Suppose that a random sample is to be taken from a normal distribution for which the value of the mean Theta is unknown and the standard deviation is 2. How large a random sample must be taken in order that
E[ |Xbar - theta|^2] <= 0.1 for ever possible value of theta?

Feb 2nd 2010, 03:58 PM

matheagle

is the variance of X bar

and the variance of the sample mean is

So set

Feb 2nd 2010, 07:12 PM

bobbe989

Sampling Distributions Help - Again

I was just curious as to how this problem would be solved if the question were changed to :